The investigation deals with the slip effects on the problem of viscous incompressible flows induced by a stretching sheet. This problem correspond to the planar stretching. The flow is governed by a third-order nonlinear boundary value problem which has been solved by Optimal Homotopy Asymptotic Method (OHAM). Convergence of the OHAM solution is checked. Our method does not depend upon small parameter and obtained results reveal that this procedure is very effective, simple and accurate.